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Öğe A new approach to curve couples with Bishop frame(Ankara Univ, Fac Sci, 2024) Babadağ, Faik; Atasoy, Ali. This paper presents a detailed study of a new generation of the Bishop frame with components including three orthogonal unit vectors, which are tangent vector, normal vector and binormal vector. It is a frame field described on a curve in Euclidean space, which is an alternative to the Frenet frame. It is useful for curves for which the second derivative is not available. Moreover, the conditions which the Bishop frame of one curve coincides with the Bishop frame of another curve are defined. It would be valuable to replicate similar approaches in the Bishop frame of one curve coincides with the Bishop frame of another curve.Öğe A New Approach to Fibonacci Tessarines with Fibonacci and Lucas Number Components(Adiyaman University, 2021) Babadağ, Faik; Uslu, MerveIn this paper, by using identities related to the tessarines, Fibonacci numbers and Lucas numbers we define Fibonacci tessarines and Lucas tessarines. We obtain Binet formulae, D’ocagnes identity and Cassini identity for these tessarines. We also give the identities of Fibonacci negatessarines and Lucas negatessarines and define new vector which are called Fibonacci tessarine vector. © 2021, Adiyaman University. All rights reserved.Öğe Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci - Lucas Matrices Oriented Approach(2021) Babadağ, FaikIn this study, by using Fibonacci Q-matrix and Lucas Q^'-matrix we define bicomplex Fibonacci Q-matrix and bicomplex Lucas Q^'-matrix. After that using this matrix representation, we give some identities.